Mplus VERSION 8.3
MUTHEN & MUTHEN
12/18/2024   3:31 PM

INPUT INSTRUCTIONS

  TITLE:LPA
  DATA:FILE IS C:\Users\72833\Desktop\Y.dat;
  VARIABLE:NAMES ARE Y1-Y19;
           USEVARIABLES ARE Y1-Y19;
           CLASSES = c(3);
  ANALYSIS: TYPE = MIXTURE;
  OUTPUT: TECH11 TECH14;
  SAVEDATA:File = 3class.txt;
           SAVE = CPROB;

  plot:
  type = plot3;
  series = Y1-Y19(*);



*** WARNING in MODEL command
  All variables are uncorrelated with all other variables within class.
  Check that this is what is intended.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



LPA

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         347

Number of dependent variables                                   19
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10         Y11         Y12
   Y13         Y14         Y15         Y16         Y17         Y18
   Y19

Categorical latent variables
   C


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0

Input data file(s)
  C:\Users\72833\Desktop\Y.dat
Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y1                    3.790      -0.842       1.000    0.86%       3.000      4.000      4.000
             347.000       0.633       1.000       5.000   13.83%       4.000      4.000
     Y2                    3.824      -0.667       2.000    3.46%       3.000      4.000      4.000
             347.000       0.398       1.103       5.000    9.22%       4.000      4.000
     Y3                    3.994      -1.025       1.000    1.15%       4.000      4.000      4.000
             347.000       0.559       2.408       5.000   21.61%       4.000      5.000
     Y4                    3.677      -0.939       1.000    1.15%       3.000      4.000      4.000
             347.000       0.599       1.139       5.000    8.07%       4.000      4.000
     Y5                    4.069      -0.782       1.000    0.29%       4.000      4.000      4.000
             347.000       0.554       1.085       5.000   27.09%       4.000      5.000
     Y6                    3.677      -0.650       1.000    0.58%       3.000      4.000      4.000
             347.000       0.536       0.737       5.000    8.36%       4.000      4.000
     Y7                    3.793      -0.688       1.000    0.58%       3.000      4.000      4.000
             347.000       0.568       0.892       5.000   13.26%       4.000      4.000
     Y8                    3.847      -1.031       1.000    1.15%       3.000      4.000      4.000
             347.000       0.481       2.762       5.000   11.82%       4.000      4.000
     Y9                    4.000      -0.497       2.000    2.59%       4.000      4.000      4.000
             347.000       0.461       0.633       5.000   20.46%       4.000      5.000
     Y10                   3.942      -0.733       1.000    0.58%       4.000      4.000      4.000
             347.000       0.469       1.840       5.000   17.00%       4.000      4.000
     Y11                   3.548      -0.423       1.000    1.73%       3.000      3.000      4.000
             347.000       0.876      -0.261       5.000   13.54%       4.000      4.000
     Y12                   3.916      -0.357       2.000    1.73%       3.000      4.000      4.000
             347.000       0.394       0.628       5.000   14.12%       4.000      4.000
     Y13                   3.513      -0.476       1.000    1.44%       3.000      3.000      4.000
             347.000       0.826      -0.265       5.000   10.37%       4.000      4.000
     Y14                   3.769      -0.537       2.000    3.75%       3.000      4.000      4.000
             347.000       0.425       0.606       5.000    8.65%       4.000      4.000
     Y15                   3.793      -0.555       2.000    5.48%       3.000      4.000      4.000
             347.000       0.516       0.418       5.000   12.10%       4.000      4.000
     Y16                   3.637      -0.170       1.000    0.29%       3.000      3.000      4.000
             347.000       0.571      -0.067       5.000   10.95%       4.000      4.000
     Y17                   3.683      -0.068       1.000    0.29%       3.000      4.000      4.000
             347.000       0.493       0.044       5.000   10.66%       4.000      4.000
     Y18                   3.769      -0.421       1.000    0.58%       3.000      4.000      4.000
             347.000       0.500       0.778       5.000   12.10%       4.000      4.000
     Y19                   3.573      -0.115       1.000    0.58%       3.000      3.000      4.000
             347.000       0.706      -0.288       5.000   13.26%       4.000      4.000

RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

           -6447.560  68985            17
           -6447.560  637345           19
           -6447.560  127215           9
           -6447.560  851945           18



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       78

Loglikelihood

          H0 Value                       -6447.560
          H0 Scaling Correction Factor      1.2985
            for MLR

Information Criteria

          Akaike (AIC)                   13051.119
          Bayesian (BIC)                 13351.366
          Sample-Size Adjusted BIC       13103.926
            (n* = (n + 2) / 24)



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1         87.08949          0.25098
       2        217.90857          0.62798
       3         42.00194          0.12104


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1         87.08949          0.25098
       2        217.90857          0.62798
       3         42.00194          0.12104


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1               88          0.25360
       2              218          0.62824
       3               41          0.11816


CLASSIFICATION QUALITY

     Entropy                         0.924


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2        3

    1   0.954    0.046    0.000
    2   0.014    0.971    0.014
    3   0.000    0.052    0.948


Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

           1        2        3

    1   0.964    0.036    0.000
    2   0.018    0.972    0.010
    3   0.000    0.074    0.926


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2        3

    1     13.779   10.481    0.000
    2      0.635    4.601    0.000
    3    -13.738   -2.520    0.000


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 Means
    Y1                 3.158      0.113     28.001      0.000
    Y2                 3.271      0.100     32.845      0.000
    Y3                 3.463      0.124     27.976      0.000
    Y4                 2.914      0.102     28.611      0.000
    Y5                 3.492      0.120     29.044      0.000
    Y6                 3.012      0.084     35.903      0.000
    Y7                 3.102      0.093     33.484      0.000
    Y8                 3.290      0.095     34.496      0.000
    Y9                 3.380      0.092     36.747      0.000
    Y10                3.326      0.117     28.413      0.000
    Y11                2.872      0.091     31.538      0.000
    Y12                3.404      0.078     43.791      0.000
    Y13                2.894      0.102     28.366      0.000
    Y14                3.254      0.075     43.577      0.000
    Y15                3.191      0.076     42.178      0.000
    Y16                3.083      0.086     35.928      0.000
    Y17                3.100      0.076     40.886      0.000
    Y18                3.136      0.082     38.036      0.000
    Y19                2.968      0.063     47.411      0.000

 Variances
    Y1                 0.459      0.049      9.384      0.000
    Y2                 0.277      0.024     11.438      0.000
    Y3                 0.436      0.051      8.482      0.000
    Y4                 0.380      0.044      8.554      0.000
    Y5                 0.420      0.046      9.066      0.000
    Y6                 0.342      0.035      9.722      0.000
    Y7                 0.361      0.045      8.059      0.000
    Y8                 0.341      0.046      7.423      0.000
    Y9                 0.303      0.034      9.009      0.000
    Y10                0.308      0.035      8.838      0.000
    Y11                0.624      0.055     11.291      0.000
    Y12                0.271      0.029      9.270      0.000
    Y13                0.654      0.058     11.226      0.000
    Y14                0.307      0.029     10.684      0.000
    Y15                0.357      0.040      8.840      0.000
    Y16                0.426      0.041     10.378      0.000
    Y17                0.327      0.033      9.984      0.000
    Y18                0.333      0.036      9.182      0.000
    Y19                0.531      0.048     11.096      0.000

Latent Class 2

 Means
    Y1                 3.899      0.053     73.965      0.000
    Y2                 3.940      0.037    106.449      0.000
    Y3                 4.087      0.044     93.747      0.000
    Y4                 3.855      0.048     80.139      0.000
    Y5                 4.186      0.047     88.549      0.000
    Y6                 3.791      0.049     78.090      0.000
    Y7                 3.914      0.050     78.253      0.000
    Y8                 3.938      0.037    106.133      0.000
    Y9                 4.121      0.041    100.110      0.000
    Y10                4.055      0.038    105.691      0.000
    Y11                3.615      0.077     47.031      0.000
    Y12                3.993      0.043     93.686      0.000
    Y13                3.614      0.067     53.945      0.000
    Y14                3.856      0.046     83.258      0.000
    Y15                3.896      0.058     67.458      0.000
    Y16                3.718      0.053     70.512      0.000
    Y17                3.762      0.047     80.277      0.000
    Y18                3.890      0.045     86.455      0.000
    Y19                3.660      0.065     56.211      0.000

 Variances
    Y1                 0.459      0.049      9.384      0.000
    Y2                 0.277      0.024     11.438      0.000
    Y3                 0.436      0.051      8.482      0.000
    Y4                 0.380      0.044      8.554      0.000
    Y5                 0.420      0.046      9.066      0.000
    Y6                 0.342      0.035      9.722      0.000
    Y7                 0.361      0.045      8.059      0.000
    Y8                 0.341      0.046      7.423      0.000
    Y9                 0.303      0.034      9.009      0.000
    Y10                0.308      0.035      8.838      0.000
    Y11                0.624      0.055     11.291      0.000
    Y12                0.271      0.029      9.270      0.000
    Y13                0.654      0.058     11.226      0.000
    Y14                0.307      0.029     10.684      0.000
    Y15                0.357      0.040      8.840      0.000
    Y16                0.426      0.041     10.378      0.000
    Y17                0.327      0.033      9.984      0.000
    Y18                0.333      0.036      9.182      0.000
    Y19                0.531      0.048     11.096      0.000

Latent Class 3

 Means
    Y1                 4.530      0.087     52.063      0.000
    Y2                 4.370      0.088     49.886      0.000
    Y3                 4.613      0.094     48.844      0.000
    Y4                 4.338      0.108     40.327      0.000
    Y5                 4.659      0.080     58.291      0.000
    Y6                 4.464      0.109     41.090      0.000
    Y7                 4.595      0.113     40.831      0.000
    Y8                 4.531      0.144     31.511      0.000
    Y9                 4.657      0.128     36.474      0.000
    Y10                4.636      0.091     51.134      0.000
    Y11                4.601      0.104     44.296      0.000
    Y12                4.580      0.103     44.529      0.000
    Y13                4.271      0.176     24.258      0.000
    Y14                4.390      0.107     41.067      0.000
    Y15                4.505      0.115     39.278      0.000
    Y16                4.363      0.138     31.561      0.000
    Y17                4.479      0.161     27.898      0.000
    Y18                4.459      0.117     38.196      0.000
    Y19                4.378      0.176     24.850      0.000

 Variances
    Y1                 0.459      0.049      9.384      0.000
    Y2                 0.277      0.024     11.438      0.000
    Y3                 0.436      0.051      8.482      0.000
    Y4                 0.380      0.044      8.554      0.000
    Y5                 0.420      0.046      9.066      0.000
    Y6                 0.342      0.035      9.722      0.000
    Y7                 0.361      0.045      8.059      0.000
    Y8                 0.341      0.046      7.423      0.000
    Y9                 0.303      0.034      9.009      0.000
    Y10                0.308      0.035      8.838      0.000
    Y11                0.624      0.055     11.291      0.000
    Y12                0.271      0.029      9.270      0.000
    Y13                0.654      0.058     11.226      0.000
    Y14                0.307      0.029     10.684      0.000
    Y15                0.357      0.040      8.840      0.000
    Y16                0.426      0.041     10.378      0.000
    Y17                0.327      0.033      9.984      0.000
    Y18                0.333      0.036      9.182      0.000
    Y19                0.531      0.048     11.096      0.000

Categorical Latent Variables

 Means
    C#1                0.729      0.306      2.381      0.017
    C#2                1.646      0.244      6.759      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.142E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 11 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4



     VUONG-LO-MENDELL-RUBIN LIKELIHOOD RATIO TEST FOR 2 (H0) VERSUS 3 CLASSES

          H0 Loglikelihood Value                        -6646.171
          2 Times the Loglikelihood Difference            397.222
          Difference in the Number of Parameters               20
          Mean                                            111.907
          Standard Deviation                               97.062
          P-Value                                          0.0145

     LO-MENDELL-RUBIN ADJUSTED LRT TEST

          Value                                           393.856
          P-Value                                          0.0151


TECHNICAL 14 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4

     Random Starts Specification for the k-1 Class Model for Generated Data
        Number of initial stage random starts                   0
        Number of final stage optimizations for the
           initial stage random starts                          0
     Random Starts Specification for the k Class Model for Generated Data
        Number of initial stage random starts                  40
        Number of final stage optimizations                     8
     Number of bootstrap draws requested                   Varies


     PARAMETRIC BOOTSTRAPPED LIKELIHOOD RATIO TEST FOR 2 (H0) VERSUS 3 CLASSES

          H0 Loglikelihood Value                        -6646.171
          2 Times the Loglikelihood Difference            397.222
          Difference in the Number of Parameters               20
          Approximate P-Value                              0.0000
          Successful Bootstrap Draws                            5


PLOT INFORMATION

The following plots are available:

  Histograms (sample values)
  Scatterplots (sample values)
  Sample means
  Estimated means, medians, modes, and percentiles
  Sample and estimated means
  Observed individual values
  Estimated means and observed individual values
  Estimated overall and class-specific distributions

SAVEDATA INFORMATION


  Save file
    3class.txt

  Order and format of variables

    Y1             F10.3
    Y2             F10.3
    Y3             F10.3
    Y4             F10.3
    Y5             F10.3
    Y6             F10.3
    Y7             F10.3
    Y8             F10.3
    Y9             F10.3
    Y10            F10.3
    Y11            F10.3
    Y12            F10.3
    Y13            F10.3
    Y14            F10.3
    Y15            F10.3
    Y16            F10.3
    Y17            F10.3
    Y18            F10.3
    Y19            F10.3
    CPROB1         F10.3
    CPROB2         F10.3
    CPROB3         F10.3
    C              F10.3

  Save file format
    23F10.3

  Save file record length    10000


DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Mixture analysis.
  No diagram output was produced.


     Beginning Time:  15:31:00
        Ending Time:  15:31:06
       Elapsed Time:  00:00:06



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

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